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luc062.c (1355B)


      1 /*
      2  * Author  : Amit Dutta <amitdutta4255@gmail.com>
      3  * Date    : 08 Feb 2026
      4  * Repo    : https://github.com/notamitgamer/bsc
      5  * License : MIT License (See the LICENSE file for details)
      6  */
      7 
      8 /* For the following set of n data points (x, y), write a program to compute the correlation coefficient r.
      9 */
     10 
     11 /* Let Us C, Chap- 13 (Arrays), Qn No.: B(h) */
     12 
     13 /* This file is auto-generated by a bot. */
     14 /* This code is not compiled; it is for reference only. */
     15 
     16 
     17 #include <stdio.h>
     18 #include <math.h>
     19 #include <stdlib.h>
     20 
     21 int main()
     22 {
     23     double x[] = {34.22, 39.87, 41.85, 43.23, 40.06, 53.29, 53.29, 54.14, 49.12, 40.71, 55.15};
     24     double y[] = {102.43, 100.93, 97.43, 97.81, 98.32, 98.32, 100.07, 97.08, 91.59, 94.85, 94.65};
     25     
     26     int n = 11, i;
     27     double sum_x = 0, sum_y = 0, sum_xy = 0, sum_x2 = 0, sum_y2 = 0;
     28     double numerator, denominator, r;
     29 
     30     for (i = 0; i < n; i++)
     31     {
     32         sum_x += x[i];
     33         sum_y += y[i];
     34         sum_xy += x[i] * y[i];
     35         sum_x2 += x[i] * x[i];
     36         sum_y2 += y[i] * y[i];
     37     }
     38 
     39     numerator = (n * sum_xy) - (sum_x * sum_y);
     40     denominator = sqrt((n * sum_x2 - sum_x * sum_x) * (n * sum_y2 - sum_y * sum_y));
     41 
     42     if (denominator != 0)
     43         r = numerator / denominator;
     44     else
     45         r = 0; // Avoid division by zero
     46 
     47     printf("Correlation coefficient (r) = %.4f\n", r);
     48 
     49     return 0;
     50 }
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